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Finding the Fourth Proportional to 226,026.26, 311,893.52 and 135,379.90

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Solution

The fourth proportional to 226,026.26, 311,893.52 and 135,379.90 is: 186,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,026.26 : 311,893.52 = 135,379.90 : x
  2. Step 2: Convert to fraction form
    226,026.26/311,893.52 = 135,379.90/x
  3. Step 3: Cross multiply
    226,026.26x = 311,893.52 × 135,379.90
  4. Step 4: Simplify right side
    226,026.26x = 42,224,111,311.88
  5. Step 5: Solve for x
    x = 42,224,111,311.88/226,026.26
  6. Step 6: Final answer
    x = 186,810.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.